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Table 2 Numerical results of the RK solutions at different values of t of Example 4.1

From: Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

t Approximation u(t) Approximation v(t) Absolute Error u(t) Absolute Error v(t)
0. 1 1 0. 0.
0.025 1.831067484 0.07135645072 1.017833134 × 10−3 1.052747859 × 10−3
0.050 1.820045141 −0.01040257192 4.767065702 × 10−4 4.444399909 × 10−4
0.075 1.738843886 −0.01745772685 1.225318916 × 10−4 9.273820249 × 10−5
0.100 1.654770941 −0.01733692021 4.119853098 × 10−5 1.371327217 × 10−5
0.125 1.574138216 −0.01656198091 2.730470746 × 10−5 1.973578751 × 10−6
0.150 1.49737419 −0.01576107085 2.377144355 × 10−5 4.497046152 × 10−7
0.175 1.424347792 −0.01499306097 2.169909736 × 10−5 2.510022328 × 10−7
0.200 1.354882302 −0.01426191185 1.991383853 × 10−5 2.12102572 × 10−7
0.225 1.288804592 −0.01356636344 1.826725615 × 10−5 1.925535892 × 10−7
0.250 1.225949491 −0.01290473142 1.67357026 × 10−5 1.761929954 × 10−7